4,9/1+1/6

To solve the expression \( \frac{4.9}{1} + \frac{1}{6} \), we can simplify it as follows:

1. \( \frac{4.9}{1} \) is just 4.9.
2. Now we need to add \( 4.9 \) and \( \frac{1}{6} \).

To add these two numbers, we can convert \( 4.9 \) into a fraction:

\[ 4.9 = \frac{49}{10} \]

Now we can find a common denominator to add the fractions. The common denominator between 10 and 6 is 30.

Convert \( \frac{49}{10} \) to have a denominator of 30:

\[ \frac{49}{10} = \frac{49 \times 3}{10 \times 3} = \frac{147}{30} \]

Now convert \( \frac{1}{6} \) to have a denominator of 30:

\[ \frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30} \]

Now we can add the two fractions:

\[ \frac{147}{30} + \frac{5}{30} = \frac{147 + 5}{30} = \frac{152}{30} \]

Now simplify \( \frac{152}{30} \) by dividing both the numerator and the denominator by 2:

\[ \frac{152 \div 2}{30 \div 2} = \frac{76}{15} \]

Thus, the result of the expression \( \frac{4.9}{1} + \frac{1}{6} \) is \( \frac{76}{15} \) or approximately \( 5.0667 \) when converted to decimal form.